An application of the almost purity theorem to the homological conjectures
Commutative Algebra
2026-03-09 v3 Algebraic Geometry
Abstract
The aim of this article is to establish the existence of big Cohen-Macaulay algebras in mixed characteristic in some special situation. The main result follows from the so-called almost purity theorem proved by Davis and Kedlaya.
Keywords
Cite
@article{arxiv.1310.0389,
title = {An application of the almost purity theorem to the homological conjectures},
author = {Kazuma Shimomoto},
journal= {arXiv preprint arXiv:1310.0389},
year = {2026}
}
Comments
to appear in Journal of Pure and Applied Algebra